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Finding the Third Proportional to 150,513 and 326,937

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Solution

The third proportional to 150,513 and 326,937 is: 710,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,513 : 326,937 = 326,937 : x
  2. Step 2: Convert to fraction form
    150,513/326,937 = 326,937/x
  3. Step 3: Cross multiply
    150,513x = 326,937 × 326,937
  4. Step 4: Simplify right side
    150,513x = 106,887,801,969
  5. Step 5: Solve for x
    x = 106,887,801,969/150,513
  6. Step 6: Final answer
    x = 710,156.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.